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Modern Computer Arithmetic

$105.00

Part of Cambridge Monographs on Applied and Computational Mathematics

  • Authors:
  • Richard P. Brent, Australian National University, Canberra
  • Paul Zimmermann, Institut National de Recherche en Informatique et en Automatique (INRIA), Nancy
  • Date Published: December 2010
  • availability: In stock
  • format: Hardback
  • isbn: 9780521194693

$105.00
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About the Authors
  • Modern Computer Arithmetic focuses on arbitrary-precision algorithms for efficiently performing arithmetic operations such as addition, multiplication and division, and their connections to topics such as modular arithmetic, greatest common divisors, the Fast Fourier Transform (FFT), and the computation of elementary and special functions. Brent and Zimmermann present algorithms that are ready to implement in your favorite language, while keeping a high-level description and avoiding too low-level or machine-dependent details. The book is intended for anyone interested in the design and implementation of efficient high-precision algorithms for computer arithmetic, and more generally efficient multiple-precision numerical algorithms. It may also be used in a graduate course in mathematics or computer science, for which exercises are included. These vary considerably in difficulty, from easy to small research projects, and expand on topics discussed in the text. Solutions are available from the authors.

    • Contains all the important algorithms relevant to integers, modular arithmetic, floating-point numbers and special functions
    • Each algorithm is presented in a form ready to implement in software
    • Solutions to exercises are available from the authors' web site
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    Reviews & endorsements

    "Very few books do justice to material that is suitable for both professional software engineers and graduate students. This book does just that, without losing its focus or stressing one audience over the other."
    Marlin Thomas, Computing Reviews

    "This is a concise, well-written and beautiful book in modern computer arithmetic. I found the book very pleasant to read."
    Song Yan for SIGACT News

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    Product details

    • Date Published: December 2010
    • format: Hardback
    • isbn: 9780521194693
    • length: 236 pages
    • dimensions: 235 x 156 x 17 mm
    • weight: 0.47kg
    • contains: 15 b/w illus. 190 exercises
    • availability: In stock
  • Table of Contents

    Preface
    Acknowledgements
    Notation
    1. Integer arithmetic
    2. Modular arithmetic and the FFT
    3. Floating-point arithmetic
    4. Newton's method and function evaluation
    Appendix. Implementations and pointers
    Bibliography
    Index.

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    These resources are provided free of charge by Cambridge University Press with permission of the author of the corresponding work, but are subject to copyright. You are permitted to view, print and download these resources for your own personal use only, provided any copyright lines on the resources are not removed or altered in any way. Any other use, including but not limited to distribution of the resources in modified form, or via electronic or other media, is strictly prohibited unless you have permission from the author of the corresponding work and provided you give appropriate acknowledgement of the source.

    If you are having problems accessing these resources please email cflack@cambridge.org

  • Authors

    Richard P. Brent, Australian National University, Canberra

    Paul Zimmermann, Institut National de Recherche en Informatique et en Automatique (INRIA), Nancy

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